Where's the new job ? (Understand if you don't want to say)
Do you know for def that your HA doesn't operate there?

I'm pretty sure there's a Homes Swap service that most HAs are linked into to. I work for an HA (but not in Lettings) and there's a notice board in our reception area where people say what they're looking for and where they are now & ask for a swap.
Not sure how a transfer would work but nothing to stop you making a direct application to an HA in the new area though.

Hi there. Agree with Custardo about job relocation being taken seriously.
Good luck with the private rent but don't forget you could always contact HAs in the area and apply direct to most of them if that's what you need to do.

also think about your moving situation - your better placed now to get a "reasonable" priced rented HA house in another area - because of the circumstances being sesperate ...whereas if you move - you will already be suitably housed ... see what i mean?